Solve the following equation. If there are multiple answers, enter each answer separated by a comma. Enter none if there are no solutions. |5x+12|=4

Respuesta :

We have an absolute value equation

[tex]|5x+12|=4[/tex]

In order to solve it we will have two cases

First case

[tex]5x+12=-4[/tex]

we solve for x

[tex]5x=-4-12[/tex][tex]5x=-16[/tex][tex]x=-\frac{16}{5}[/tex]

For the second case

[tex]5x+12=4[/tex]

we solve for x

[tex]5x=4-12[/tex][tex]5x=-8[/tex][tex]x=-\frac{8}{5}[/tex]

ANSWER

x=-16/5

x=-8/5